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Abstract:

A theoretical framework for analyzing stochastic data from single-particle tracking in viscoelastic materials and under the influence of a trapping potential is presented. Starting from a generalized Langevin equation, we found analytical expressions for the two-time dynamics of a particle subjected to a harmonic potential. The mean-square displacement and the velocity autocorrelation function of the diffusing particle are given in terms of the time lag. In particular, we investigate the subdiffusive case. Using a power-law memory kernel, exact expressions for the mean-square displacement and the velocity autocorrelation function are obtained in terms of Mittag-Leffler functions and their derivatives. The behaviors for short-, intermediate-, and long-time lags are investigated in terms of the involved parameters. Finally, the validity of usual approximations is examined. © 2009 The American Physical Society.

Registro:

Documento: Artículo
Título:Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function
Autor:Despósito, M.A.; Viñales, A.D.
Filiación:Departamento de Física, Facultad de Ciencias Exactas y Naturales, Universidad de Buenos Aires, 1428 Buenos Aires, Argentina
Consejo Nacional de Investigaciones Científicas y Técnicas, Buenos Aires, Argentina
Palabras clave:Analytical expressions; Diffusing particles; Generalized Langevin equation; Harmonic potential; Mean-square displacement; Memory kernels; Mittag-Leffler functions; Power-law; Single-particle; Stochastic data; Subdiffusive behavior; Theoretical framework; Time dynamic; Time lag; Trapping potential; Velocity autocorrelation functions; Visco-elastic material; Correlation detectors; Kinetic theory of gases; Regression analysis
Año:2009
Volumen:80
Número:2
DOI: http://dx.doi.org/10.1103/PhysRevE.80.021111
Título revista:Physical Review E - Statistical, Nonlinear, and Soft Matter Physics
Título revista abreviado:Phys. Rev. E Stat. Nonlinear Soft Matter Phys.
ISSN:15393755
CODEN:PLEEE
Registro:https://bibliotecadigital.exactas.uba.ar/collection/paper/document/paper_15393755_v80_n2_p_Desposito

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Citas:

---------- APA ----------
Despósito, M.A. & Viñales, A.D. (2009) . Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function. Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, 80(2).
http://dx.doi.org/10.1103/PhysRevE.80.021111
---------- CHICAGO ----------
Despósito, M.A., Viñales, A.D. "Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics 80, no. 2 (2009).
http://dx.doi.org/10.1103/PhysRevE.80.021111
---------- MLA ----------
Despósito, M.A., Viñales, A.D. "Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function" . Physical Review E - Statistical, Nonlinear, and Soft Matter Physics, vol. 80, no. 2, 2009.
http://dx.doi.org/10.1103/PhysRevE.80.021111
---------- VANCOUVER ----------
Despósito, M.A., Viñales, A.D. Subdiffusive behavior in a trapping potential: Mean square displacement and velocity autocorrelation function. Phys. Rev. E Stat. Nonlinear Soft Matter Phys. 2009;80(2).
http://dx.doi.org/10.1103/PhysRevE.80.021111